Abstract: Within the framework of sublinear expectations, for linear processes constructed by m-asymptotically almost negatively associated (m-AANA) random variable sequences as innovations, combined with probabilistic inequalities in sublinear expectation space, the Toeplitz theorem and the Borel-Cantelli lemma, and under the assumptions that the coefficient sequence of the linear process is absolutely summable and that the innovations satisfy a uniform moment condition, we give the strong law of large numbers for this linear process.

Key words: strong law of large numbers, m-AANA random variable sequence, linear process, sublinear expectation